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We review a range of stastistical methods for analyzing the structures of star clusters, and derive a new measure ${\cal Q}$ which both quantifies, and distinguishes between, a (relatively smooth) large-scale radial density gradient and…

Astrophysics · Physics 2009-11-10 Annabel Cartwright , Anthony P Whitworth

We analyze the low energy NN interaction by confronting statistical vs systematic uncertainties. This is carried out with the help of model potentials fitted to the Granada-2013 database where a statistically meaningful partial wave…

Nuclear Theory · Physics 2016-06-15 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Electron-capture rates at different density and temperature conditions are evaluated for a set of pf-shell nuclei representative of the constituents in presupernova formations. The nuclear structure part of the problem is described within a…

Nuclear Theory · Physics 2013-04-09 P. Sarriguren

The authors review the evidence for the applicability of random--matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random--matrix…

Nuclear Theory · Physics 2014-11-18 H. A. Weidenmuller , G. E. Mitchell

Products between phase-type distributed random variables and any independent, positive and continuous random variable are studied. Their asymptotic properties are established, and an expectation-maximization algorithm for their effective…

Probability · Mathematics 2021-11-25 Hansjoerg Albrecher , Martin Bladt , Mogens Bladt , Jorge Yslas

Integrated spectrophotometric properties of stellar systems are intrinsically dispersed due to the stochastic nature of the small numbers of bright stars they contain. Among clusters, only the most massive ones can be used individually for…

Astrophysics · Physics 2007-05-23 Ariane Lançon , Mustapha Mouhcine

A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and approximate expressions obtained in \cite{Anima} for the…

Quantum Physics · Physics 2007-05-23 Yu. Dabaghian

Investigation into the properties and structure of unstable nuclei far from stability remains a key avenue of research in modern nuclear physics. These efforts are motivated by the continual observation of unexpected structure phenomena in…

Nuclear Experiment · Physics 2023-01-24 X. F. Yang , S. J. Wang , S. G. Wilkins , R. F. Garcia Ruiz

Large liquid xenon detectors aiming for dark matter direct detection will soon become viable tools also for investigating neutrino physics. Information on the effects of nuclear structure in neutrino-nucleus scattering can be important in…

Nuclear Theory · Physics 2018-04-25 Pekka Pirinen , Jouni Suhonen , Emanuel Ydrefors

The appearance and disappearance of shells and subshells are determined using a previously introduced method of structural analysis. This work extends the approach and applies it to protons, in addition to neutrons, in an attempt to provide…

Nuclear Theory · Physics 2016-04-28 I. Bentley , Y. Colon Rodrıguez , S. Cunningham , A. Aprahamian

We study the spectral statistics of quantum (metric) graphs whose vertices are equipped with preferred orientation vertex conditions. When comparing their spectral statistics to those predicted by suitable random matrix theory ensembles,…

Spectral Theory · Mathematics 2025-08-08 Ram Band , Pavel Exner , Divya Goel , Aviya Strauss

This paper presents a short overview of the shell-model approach with realistic effective interactions to the study of exotic nuclei. We first give a sketch of the current state of the art of the theoretical framework of this approach,…

Nuclear Theory · Physics 2015-06-19 A. Gargano , L. Coraggio , A. Covello , N. Itaco

Spectroscopic amplitudes are calculated for one--nucleon transfer between low--lying, normal--parity states of nuclei in the lower part of the 1p$0\,$f--shell. Calculations are performed using shell--model wave functions obtained from the…

Nuclear Theory · Physics 2007-05-23 E. Kwa{ś}niewicz , H. Herndl , H. Oberhummer

The ability to tailor the spectral response of photonic devices is paramount to the advancement of a broad range of applications. The vast design space offered by disordered optical media provide enhanced functionality for spectral…

Nuclei are small and inhomogeneous. Multi-fragmented nuclei are even more inhomogeneous and the fragments even smaller. System studied in chemical thermodynamics (CTh) consist of several homogeneous macroscopic phases. Evidently,…

Nuclear Theory · Physics 2007-05-23 D. H. E. Gross

Single particle momentum spectra are calculated within three micro-canonical statistical ensembles, namely, with conserved system energy, system momentum, as well as system energy and momentum. Deviations from the exponential spectrum of…

Nuclear Theory · Physics 2012-08-13 V. V. Begun , M. Gazdzicki , M. I. Gorenstein

The shell structure of magic nuclei far from stability is discussed in terms of the self-consistent spherical Hartree-Fock-Bogoliubov theory. In particular, the sensitivity of the shell-gap sizes and the two-neutron separation energies to…

Nuclear Theory · Physics 2015-06-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner

A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different degrees of phason disorder considered. The level statistics…

Condensed Matter · Physics 2009-10-22 Frederic Piechon , Anuradha Jagannathan

Shell effects in atomic nuclei are a quantum mechanical manifestation of the single--particle motion of the nucleons. They are directly related to the structure and fluctuations of the single--particle spectrum. Our understanding of these…

Nuclear Theory · Physics 2007-05-23 P. Leboeuf

We present calculations of nuclear level densities that are based upon the detailed microphysics of the interacting shell model yet are also computationally tractable. To do this, we combine in a novel fashion several previously disparate…

Nuclear Theory · Physics 2007-05-23 Calvin W. Johnson , Jameel-Un Nabi , W. Erich Ormand